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Finding the Third Proportional to 25,332.50 and 39,322.50

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Solution

The third proportional to 25,332.50 and 39,322.50 is: 61,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,332.50 : 39,322.50 = 39,322.50 : x
  2. Step 2: Convert to fraction form
    25,332.50/39,322.50 = 39,322.50/x
  3. Step 3: Cross multiply
    25,332.50x = 39,322.50 × 39,322.50
  4. Step 4: Simplify right side
    25,332.50x = 1,546,259,006.25
  5. Step 5: Solve for x
    x = 1,546,259,006.25/25,332.50
  6. Step 6: Final answer
    x = 61,038.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.